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Finding the Fourth Proportional to 924.14, 1,389.42 and 742.82

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Solution

The fourth proportional to 924.14, 1,389.42 and 742.82 is: 1,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.14 : 1,389.42 = 742.82 : x
  2. Step 2: Convert to fraction form
    924.14/1,389.42 = 742.82/x
  3. Step 3: Cross multiply
    924.14x = 1,389.42 × 742.82
  4. Step 4: Simplify right side
    924.14x = 1,032,082.02
  5. Step 5: Solve for x
    x = 1,032,082.02/924.14
  6. Step 6: Final answer
    x = 1,116.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.